3 Answers
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No, we would use spaghetti, linguini etc. We would refer to a one spaghetti noodle as "a piece of spaghetti" perhaps. On the other hand we would refer to a noodle versus noodles. In the UK noodles is more commonly used for asian foods whereas Italian we would lump under pasta - and UK pasta is sadly often lumpy ;-)

However, Macmillan lists both pizza and lasagna as countable/uncountable, but doesn't elaborate. (Merriam-Webster lists pizzas as a valid plural of pizza, and notes that the plural of lasagna is lasagne.)